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  • Open Access


    Post-Buckling and Panel Flutter of Pre-Heated Functionally Graded Plates

    Wei Xia1,2,*, Weilin Kong1, Yupeng Feng1, Shengping Shen1,2,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.24, No.1, pp. 1-2, 2022, DOI:10.32604/icces.2022.08765

    Abstract Post-buckling and panel flutter behaviors of ceramic-metal FGM plates are studied for the skins of supersonic aircrafts. The effects of asymmetric material and temperature distributions, as well as the aerodynamic loads, on the thermo-mechanical response of FGM plates are discussed using finite element simulations. The aero-thermo-elastic model is established by using the simple power law material distribution, the rule of mixture for material effective properties, the nonlinear Fourier equations of heat conduction, von-Karman strain-displacement nonlinear relations, and the piston theory for supersonic aerodynamics. The finite element equations are established using the first-order shear deformable plate elements. The thermal post-buckling equilibrium… More >

  • Open Access


    A Simplified Model for Buckling and Post-Buckling Analysis of Cu Nanobeam Under Compression

    Jiachen Guo1,2, Yunfei Xu2, Zhenyu Jiang1,*, Xiaoyi Liu2, Yang Cai2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.125, No.2, pp. 611-623, 2020, DOI:10.32604/cmes.2020.011148

    Abstract Both of Buckling and post-buckling are fundamental problems of geometric nonlinearity in solid mechanics. With the rapid development of nanotechnology in recent years, buckling behaviors in nanobeams receive more attention due to its applications in sensors, actuators, transistors, probes, and resonators in nanoelectromechanical systems (NEMS) and biotechnology. In this work, buckling and post-buckling of copper nanobeam under uniaxial compression are investigated with theoretical analysis and atomistic simulations. Different cross sections are explored for the consideration of surface effects. To avoid complicated high order buckling modes, a stressbased simplified model is proposed to analyze the critical strain for buckling, maximum deflection,… More >

  • Open Access


    Closed Solution for Initial Post-Buckling Behavior Analysis of a Composite Beam with Shear Deformation Effect

    Yongping Yu1, Lihui Chen1, Shaopeng Zheng1, Baihui Zeng1, Weipeng Sun2, ∗

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.1, pp. 185-200, 2020, DOI:10.32604/cmes.2020.07997

    Abstract This paper is focused on the post-buckling behavior of the fixed laminated composite beams with effects of axial compression force and the shear deformation. The analytical solutions are established for the original control equations (that is not simplified) by applying the Maclaurin series expansion, Chebyshev polynomials, the harmonic balance method and the Newton’s method. The validity of the present method is verified via comparing the analytical approximate solutions with the numerical ones which are obtained by the shooting method. The present third analytical approximate solutions can give excellent agreement with the numerical solutions for a wide range of the deformation… More >

  • Open Access


    Numerical Analysis of Composite Panels in the Post-Buckling Field taking into account Progressive Failure

    C. Bisagni1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.1, No.3, pp. 93-98, 2007, DOI:10.3970/icces.2007.001.093

    Abstract The research here presented shows the numerical results for progressive failure of stiffened composite panels into the post-buckling field. In particular, a strength reduction procedure is implemented in the commercial finite element code ABAQUS where the stiffness properties of the material are removed in the failed areas. The results show a good correlation with experimental data obtained from a post-buckling test of a stiffened panel with a notch, that can be found in literature. More >

  • Open Access


    Analytical Method for Simulation of Buckling and Post-buckling Behaviour of Curved Pates

    Joo Shin Park1, Jung Kwan Seo2,3

    CMES-Computer Modeling in Engineering & Sciences, Vol.106, No.4, pp. 291-308, 2015, DOI:10.3970/cmes.2015.106.291

    Abstract Ships, ship-shaped offshore structures, land-based structures and aerospace structures typically consist of various curved plate components. It is difficult to simulate the buckling and post-buckling of curved thin and/or thick plates that have characteristics of nonlinear structural mechanics, such as nonlinear behaviour when loading is applied. The elastic post-buckling behaviour of a curved plate is very complex, and accompanied by mode changes due to the occurrence of secondary buckling behaviour. Therefore, it is very important to clarify the elastic post-buckling behaviour when subjected to axial loading. The aim of this study was to derive an analytical calculation based on the… More >

  • Open Access


    Solution of Post-Buckling & Limit Load Problems, Without Inverting the Tangent Stiffness Matrix & Without Using Arc-Length Methods

    T.A. Elgohary1, L. Dong2, J.L. Junkins3, S.N. Atluri4

    CMES-Computer Modeling in Engineering & Sciences, Vol.98, No.6, pp. 543-563, 2014, DOI:10.3970/cmes.2014.098.543

    Abstract In this study, the Scalar Homotopy Methods are applied to the solution of post-buckling and limit load problems of solids and structures, as exemplified by simple plane elastic frames, considering only geometrical nonlinearities. Explicitly derived tangent stiffness matrices and nodal forces of large-deformation planar beam elements, with two translational and one rotational degrees of freedom at each node, are adopted following the work of [Kondoh and Atluri (1986)]. By using the Scalar Homotopy Methods, the displacements of the equilibrium state are iteratively solved for, without inverting the Jacobian (tangent stiffness) matrix. It is well-known that, the simple Newton’s method (and… More >

  • Open Access


    Nonlinear Bending and Thermal Post-Buckling Analysis of FGM Beams Resting on Nonlinear Elastic Foundations

    Da-Guang Zhang1,2, Hao-Miao Zhou1

    CMES-Computer Modeling in Engineering & Sciences, Vol.100, No.3, pp. 201-222, 2014, DOI:10.3970/cmes.2014.100.201

    Abstract A model of FGM beams resting on nonlinear elastic foundations is put forward by physical neutral surface and high-order shear deformation theory. Material properties are assumed to be temperature dependent and von Kármán strain-displacement relationships are adopted. Nonlinear bending and thermal postbuckling are given by multi-term Ritz method, and influences played by different supported boundaries, thermal environmental conditions, different elastic foundations, and volume fraction index are discussed in detail. It is worth noting that the effect of nonlinear elastic foundation increases with increasing deflection. More >

  • Open Access


    The Post-Buckling Behavior of A Tubular String in An Inclined Wellbore

    Deli Gao1, Fengwu Liu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.90, No.1, pp. 17-36, 2013, DOI:10.3970/cmes.2013.090.017

    Abstract A down-hole tubular string in an inclined wellbore, under variable axial and torsional loading, may simultaneously undergo a sinusoidal as well as helical buckling, at different sections. In this paper, the buckling equation for a tubular string, in an inclined wellbore, subjected to axial and torsional loading, is established by an equilibrium method. The analytical solutions for the buckling equations, for sinusoidal and helical configurations of buckled tubular string, are obtained by Galerkin and nonlinear scaling methods. Methods for computing the contact forces between the buckled tubular string and wellbore, are developed. The analytical solutions are in good accordance with… More >

  • Open Access


    A Lie-Group Shooting Method for Post Buckling Calculations of Elastica

    Chein-Shan Liu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.30, No.1, pp. 1-16, 2008, DOI:10.3970/cmes.2008.030.001

    Abstract In this paper we propose a new numerical integration method of second-order boundary value problems (BVPs) resulting from the elastica of slender rods under different loading conditions and boundary conditions. We construct a compact space shooting method for finding unknown initial conditions. The key point is based on the construction of a one-step Lie group element G(T) and the establishment of a generalized mid-point Lie group element G(r) by using the mean value theorem. Then, by imposing G(T) = G(r) we can search the missing initial condition through a closed-form solution in terms of the weighting factor r ∈ (0,1).… More >

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